Does the Mean value theorem apply to the given function on the given interval? Is so, find "c". If not, why not? f(x) = x - sin(pi x), [-1,1]

Does the Mean value theorem apply to the given function on the given interval? Is so, find "c". If not, why not? f(x) = x - sin(pi x), [-1,1]

I am trying to understand this calculus problem but I am stuck. Please help me.

let f(x)= x3 + 3x2 -10x , so that f(1)= -6 and f(2)= 0. by the mean value theorem, there exist a number y in the open interval (0,1) such that f ’(1+y) = 6. the value of y turns...

The function f(x)= x(2/3) on [-8,8] does not satisfy the conditions of the mean-value theorem because... A. f(0) is not defined. ...

a.) Verify that the hypotheses of the Mean Value Theorem are satisfied for each of the functions on the given interval, and b.)find the value of "c" which Mean Value Theorem guarantees. ...

Verify that the hypotheses of the Mean Value Theorem are satisfied for each of the functions on the given interval, and find the value of "c" which Mean Value Theorem guarantees....

Consider the function f(x)=8sqrt(x)+7 on the interval [36] . Find the average or mean slope of the function on this interval. By the Mean Value Theorem, we know there exists a c in the open interval...

Consider the function f(x)=8sqrt(x)+7 on the interval [36] . Find the average or mean slope of the function on this interval. By the Mean Value Theorem, we know there exists a c in the...

Consider the function f(x)=8sqrt(x)+7 on the interval [36] . Find the average or mean slope of the function on this interval. By the Mean Value Theorem, we know there exists a c in the...

is there any condition that f(a) and f(b) must equal thn we will find f'(c)?.otherwise not

Cosider the quadratic function f(x) = Ax2 +Bx +C, where A,B,and C are real numbers with A≠ 0. Show that when the Mean Value Theorem is applied is applied to f on the interval [a,b],the number...

Suppose that f'(x)≤2 for 2≤x≤4. Show that f(4)-f(2)≤4. Assume that f does satisfy the conditions of the Mean Value Thereom on the interval [2,4]. I'm using f(b)-f(a)/b-a=f'(c). So I'm...

Verify the function f(x)=1/x satisfies the hypothesis of the mean value theorem on [1,3]. Then find all numbers c that satisfy the conclusion of the mean value theorem.

find the value(s) of c that satisfy the mean value theorem for the given function and interval. f'(x)= √(x-3) [3,8]

does √x(x-1) obey mean value theorem in closed inerval 0,1 .how?

Given f(x)= -1/x, find all c in the interval [-3, -1/2] that satisfies the Mean Value Theorem. How do you solve this problem and which is the right answer choice and why? a) c= -√3/2 b) + &...

Determine whether the Mean Value Thereom can be applied to f on the closed interval (a,b) . If the MVT can be applied, find all values of c in the open interval (a,b) such that f'(c) =f(b)-f(a)...

Determine if the Mean Value Theorem for Integrals applies to the function f(x) = x³ - 4x on the interval [-1, 1]. If so, find the x-coordinates of the point(s) guaranteed to exist by the theorem...

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